211055136 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 65335296.

The previous prime is 211055129. The next prime is 211055147. The reversal of 211055136 is 631550112.

211055136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128110 + ... + 129746.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^211055136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

211055136 is an abundant number, since it is smaller than the sum of its proper divisors (383342304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211055136 is a wasteful number, since it uses less digits than its factorization.

211055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 211055136 is about 14527.7367817565. The cubic root of 211055136 is about 595.3860320039.

The spelling of 211055136 in words is "two hundred eleven million, fifty-five thousand, one hundred thirty-six".